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1221013220301 = 33731301101341
BaseRepresentation
bin10001110001001010000…
…011110010101111001101
311022201122111210022012000
4101301022003302233031
5130001113341022201
62332531542502513
7154133563062000
oct21611203625715
94281574708160
101221013220301
11430913149566
12178782a34a39
138b1aab7b084
14431511dd537
1521b64899d86
hex11c4a0f2bcd

1221013220301 has 64 divisors (see below), whose sum is σ = 2111156544000. Its totient is φ = 697178664000.

The previous prime is 1221013220279. The next prime is 1221013220311. The reversal of 1221013220301 is 1030223101221.

1221013220301 is a `hidden beast` number, since 1 + 2 + 210 + 132 + 20 + 301 = 666.

It is not a de Polignac number, because 1221013220301 - 25 = 1221013220269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221013220311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11997891 + ... + 12099231.

It is an arithmetic number, because the mean of its divisors is an integer number (32986821000).

Almost surely, 21221013220301 is an apocalyptic number.

It is an amenable number.

1221013220301 is a deficient number, since it is larger than the sum of its proper divisors (890143323699).

1221013220301 is a wasteful number, since it uses less digits than its factorization.

1221013220301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102672 (or 102652 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1221013220301 its reverse (1030223101221), we get a palindrome (2251236321522).

The spelling of 1221013220301 in words is "one trillion, two hundred twenty-one billion, thirteen million, two hundred twenty thousand, three hundred one".

Divisors: 1 3 7 9 21 27 49 63 147 189 343 441 1029 1301 1323 3087 3903 9107 9261 11709 27321 35127 63749 81963 101341 191247 245889 304023 446243 573741 709387 912069 1338729 1721223 2128161 2736207 4016187 4965709 6384483 12048561 14897127 19153449 34759963 44691381 104279889 131844641 134074143 312839667 395533923 922912487 938519001 1186601769 2768737461 3559805307 6460387409 8306212383 19381162227 24918637149 45222711863 58143486681 135668135589 174430460043 407004406767 1221013220301